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Finding the Fourth Proportional to 313,714.61, 432,925.32 and 170,474.68

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Solution

The fourth proportional to 313,714.61, 432,925.32 and 170,474.68 is: 235,254.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,714.61 : 432,925.32 = 170,474.68 : x
  2. Step 2: Convert to fraction form
    313,714.61/432,925.32 = 170,474.68/x
  3. Step 3: Cross multiply
    313,714.61x = 432,925.32 × 170,474.68
  4. Step 4: Simplify right side
    313,714.61x = 73,802,805,390.90
  5. Step 5: Solve for x
    x = 73,802,805,390.90/313,714.61
  6. Step 6: Final answer
    x = 235,254.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.